Find the value of k, if the roots of quadratic equations
3x² – kx+48=0 are real and e.
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3x² - k√3 x + 4 =0comparegivenquadraticequation3x²−k√3x+4=0
with \: \: ax² + bx + c = 0 ,withax²+bx+c=0,
a = 3 , b = - k√3 , c = 4a=3,b=−k√3,c=4
given ,accordingtotheproblemgiven,
rootsareequal.
b² = 4ac b²=4ac
( - k√3 )² = 4 × 3 × 4(−k√3)²=4 ×3 ×4
k² × 3 = 4 ×3 × 4k²×3=4 ×3 ×4
k² = 4 × 4k²=4 ×4
k = √ 4 × 4k= √4 ×4
k = 4 or k = -4 k=4ork=−4
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